The first gen LCP had a horrible trigger and poor sights. With the snappy recoil that deserved to be called "punishing" by reviewers it goes to how good could someone get trying to practice with it?
Short range belly guns get called on to shoot large aggressive dogs who don't need to be approached to 21 feet to get a hit. And not practicing with it doesn't help. Excusing the guns faults by stating they don't matter might be just fine for others, but not everyone. It's why other guns with better triggers, better sights, and comfortable recoil actually sell. An informed consumer with his priorities arranged to find a suitable firearm makes different choices.
Go shoot the newer LCP before you decide. At least try dry firing it against one or two others at the counter if you can ( my local LGS allowed it,) and then you actually know which has the better trigger, which is important.
Then research which is the better range gun, which means you shoot it and actually pick up good habits with it, not reactions to unpleasant use that will crop in a defensive situation. The last thing you need running thru your mind on pulling the trigger is how much the gun hurts you firing it. Seven yards or seven feet, shot placement is more important than "Who cares what the sights look like?" And you would probably like to actually SEE the sights for that seven yard shot. Again, shot placement is more important. You can pick a different pocket carry holster, and not all good sights are over sized target models.
If anything, those little red triggers and "big" sights in the LCP are a lot of window dressing to distract shooters from the snappy recoil. Lighter pull and shorter would be good, but it doesn't begin to address some of the other shortcomings.
The LCP is a nice product improved clone of the Keltec but the market is a moving target and the models are starting to show their age. There are other choices that might work better - go try the triggers, get some rounds down range with each and find out.
I sold the first gen LCP because of the horrible trigger and uncomfortable recoil. How it shoots directly impacts how much you practice with it and that goes to how good you are with it.